Faithin Omaha eBook Collection

This book gives an introduction to the mathematics and applications comprising the new field of applied topology. The elements of this subject are surveyed in t

This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs o

Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of t

This monograph is based, in part, upon lectures given in the Princeton School of Engineering and Applied Science. It presupposes mainly an elementary knowledge

Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. This book uses a comp